Mathematics for IGCSE & O level - Functions (Section 4 - No. 17)
Which of the following statements is/are correct about composite functions, g(f(x))?
The output of f(x) is the input for g(x).
The domain of g(f(x)) is all real numbers.
g(f(x)) means apply g to x first, then apply f.
f(g(x)) is generally not the same as g(f(x)).
Explication
Properties and definitions of composite functions.